Question

The number of caps a new online store sells increases by a factor of 4 each month. The function f(x)=4^x represents the number of caps sold in month x. When does the store sell 64 caps? A.month 3 B.month 4 C.month 2 D.month 16

Answer 1

For this case we have the following variables:

x: number of months

f (x): number of caps sold

The function that models the problem is given by:

$f (x) = 4 ^ x$

By the time the store sells 64 caps we have:

$4 ^ x = 64$

From here, we clear the number of months:

$log4 (4 ^ x) = log4 (64)\\x = log4 (64)\\x = 3$

Answer:

the store sells 64 caps in 3 monts

A. month 3